Question

An exterior angle of a triangle has a measure of 140 degrees. If the corresponding remote interior angles are congruent, what is the measure of each angle?

Answer 1

See below, :)

Explanation:

Hello!

From the exterior angle theorem, we know that an exterior angle is equal to remote interior angles added up. The exterior angle in this problem is 140 degrees so we also know that the remote interior angles are congruent. We can denote the interior angles as x and both combined is 2x.

Then we can create the equation:

2x = 140

x = 70

The two remote interior angles are 70 degrees.

The last interior angle is 180 - 140 = 40 degrees